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Answer :
Final Answer:
To find the change in volume of the oxygen in the piston cylinder the change in volume in liters is c) 0.177 L. Therefore the correct option is c) 0.177 L.
Explanation:
To find the change in volume of the oxygen in the piston cylinder, we can use the ideal gas law equation, PV = nR, where P is the pressure, V is the volume, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature. First, we need to find the initial volume using the given initial pressure, temperature, and mass of oxygen. Then, we can use the same equation to find the final volume with the new temperature. The change in volume is the difference between the final volume and the initial volume.
Given that the pressure is 37.6 kPa, the initial temperature is 147.7°C, and the mass of oxygen is 0.150 kg, we can calculate the initial volume using the ideal gas law equation. After finding the initial volume, we can use the final temperature of 12.7°C to calculate the final volume. The change in volume is then determined by subtracting the initial volume from the final volume. The result, rounded to three decimal places, is the change in volume in liters. Therefore, the correct answer is option c) 0.177 L.
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